If the roots of the equation 5x2 + 13 x + K 0 are reciprocal of each o – InterviewSolution

1.

If the roots of the equation 5x2 + 13 x + K 0 are reciprocal of each other. Find thevalue of K.

Answer»

Let Alpha be the one zero of the given polynomial.

Then the other will be 1/Alpha

P(X) = 5X²+13X+K

Here,

A = 5 , B = 13 and C= K

Product of zeros = C/A

Alpha × 1/Alpha = K/5

1 = K/5

K = 5.

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